Gohm Noncommutative Stationary Processes

Erscheinungsjahr 2004
ISBN: 978-3-540-39902-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1839, 172 Seiten, eBook

Reihe: Lecture Notes in Mathematics

Quantum probability and the theory of operator algebras are both concerned with the study of noncommutative dynamics. Focusing on stationary processes with discrete-time parameter, this book presents (without many prerequisites) some basic problems of interest to both fields, on topics including extensions and dilations of completely positive maps, Markov property and adaptedness, endomorphisms of operator algebras and the applications arising from the interplay of these themes. Much of the material is new, but many interesting questions are accessible even to the reader equipped only with basic knowledge of quantum probability and operator algebras.

Zielgruppe

Research

Autoren/Hrsg.

Gohm, Rolf

Inhaltsverzeichnis

Preface.- Introduction.- 1. Extensions and dilations.- 2. Markov processes.- 3. Adaptedness.- 4. Examples and applications.- A. Some facts about unital completely positive maps.- References.- Index.